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Finding the Fourth Proportional to 198.64, 297.73 and 175.86

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Solution

The fourth proportional to 198.64, 297.73 and 175.86 is: 263.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.64 : 297.73 = 175.86 : x
  2. Step 2: Convert to fraction form
    198.64/297.73 = 175.86/x
  3. Step 3: Cross multiply
    198.64x = 297.73 × 175.86
  4. Step 4: Simplify right side
    198.64x = 52,358.80
  5. Step 5: Solve for x
    x = 52,358.80/198.64
  6. Step 6: Final answer
    x = 263.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.